Geodesic
Vector bundles of finite rank over infinite varieties
Izvestiya. Mathematics, Tome 10 (1976) no. 6, pp. 1187-1204 
A. N. Tyurin. Vector bundles of finite rank over infinite varieties. Izvestiya. Mathematics, Tome 10 (1976) no. 6, pp. 1187-1204. http://geodesic.mathdoc.fr/item/IM2_1976_10_6_a2/
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     title = {Vector bundles of finite rank over infinite varieties},
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Voir la notice de l'article provenant de la source Math-Net.Ru

This article contains a proof of the conjecture of Schwarzenberger that vector bundles on infinite-dimensional projective space $P_{\infty}$ split as the sum of line bundles, and a generalization to quasi-homogeneous projective varieties. Bibliography: 7 titles.

[1] Barth W., Larsen M. F., “On homotopy groups of complex projective algebraic manifolds”, Math. Scand., 30 (1972), 88–94 | MR | Zbl

[2] Barth W., Van de Ven A., “A decomposability criterion for algebraic 2-bundles on projectiv spaces”, Invent. Math., 25 (1974), 91–106 | DOI | MR | Zbl

[3] Hartshorne R., “Subvarieties of smail codimension”, Lecture Notes Prepared in Connection with the Summer Institute on algebraic Geometry at Humboldt State University, Arcata, California, 1974, 37–67

[4] Shigefumi Mori, “On a generalization of complete intersections”, J. Math. Kyoto Univ., 15:3 (1975), 619–646 | MR | Zbl

[5] Predonzan A. R., “Sopra intersezeone complete algebraice loci”, Acc. Lincei(8), 5 (1948), 238 | MR | Zbl

[6] Tyurin A. N., “Geometriya modulei vektornykh rassloenii”, Uspekhi matem. nauk, 29:6 (1974), 59–88 | MR | Zbl

[7] Van de Ven A., “On uniform vector bundless”, Math. Ann., 195 (1972), 245–248 | DOI | MR | Zbl